Number System In how many different ways can the letters of the word TEST' be arranged ? 16 10 12 8 16 10 12 8 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The word TEST consists of 4 letters in which T comes twice ∴ Number of arrangements= 4!/2! = 4 x 3 x 2 x 1/2 x 1 = 12
Number System (164 x 175) x ? = 258300 9 11 2 5 9 11 2 5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 258300 / 164 x 175 = 9
Number System If a + b = 16 and ab = 68, what is the value of a² + b² ? 120 124 112 116 120 124 112 116 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP a + b = 16 Therefore, (a+b)² = (16)² = 256 a² + b² + 2ab = 256Therefore, a² + b² = 256 - 2 x 68Therefore, a² + b² = 256 - 136 = 120
Number System If the difference between the squares of two consecutive numbers is 47, what is the smaller number ? 23 24 26 25 23 24 26 25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be (x + 1) and x.Therefore, (x + 1)² - x² = 47x² + 2x + 1 - x² = 472x + 1 = 47Therefore, x = 46/2 = 23
Number System What should come in place of question mark (?) in the following number series ? 7, 176, 480, 1058, 2188, 4426, ? 8881 8884 8882 8888 8881 8884 8882 8888 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Series is (No. + 9²) x 2, (+8²) x 2, (+7²) x 2, (+6²) x 2.......
Number System If the of a two-digit number are interchanged, the number so obtained is greater than the original number by 18. If the sum of the two digits of the number is 14. What is the original number ? 66 68 62 64 66 68 62 64 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be 10x + y.No. formed by the interchange of digits = 10y + xWe have y - x = 2 .........(i)y + x = 14 .........(ii)Solving (i) and (ii), we get x = 6, and y = 8∴ the no. is 68.
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